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101021200110120 = 23355914268531089
BaseRepresentation
bin10110111110000011010100…
…101111110101001000101000
3111020200112101010111010121110
4112332003110233311020220
5101220112404212010440
6554504255413110320
730164353340642433
oct2676032457651050
9436615333433543
10101021200110120
112a208939932634
12b3b67036283a0
13444a34861ba34
141ad3648a9c81a
15ba2bd7310080
hex5be0d4bf5228

101021200110120 has 64 divisors (see below), whose sum is σ = 308200271544000. Its totient is φ = 26482393699328.

The previous prime is 101021200110071. The next prime is 101021200110121. The reversal of 101021200110120 is 21011002120101.

101021200110120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101021200110096 and 101021200110105.

It is not an unprimeable number, because it can be changed into a prime (101021200110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7134258465 + ... + 7134272624.

It is an arithmetic number, because the mean of its divisors is an integer number (4815629242875).

Almost surely, 2101021200110120 is an apocalyptic number.

101021200110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021200110120 is an abundant number, since it is smaller than the sum of its proper divisors (207179071433880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021200110120 is a wasteful number, since it uses less digits than its factorization.

101021200110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14268531162 (or 14268531158 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021200110120 its reverse (21011002120101), we get a palindrome (122032202230221).

The spelling of 101021200110120 in words is "one hundred one trillion, twenty-one billion, two hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 14268531089 28537062178 42805593267 57074124356 71342655445 85611186534 114148248712 142685310890 171222373068 214027966335 285370621780 342444746136 428055932670 570741243560 841843334251 856111865340 1683686668502 1712223730680 2525530002753 3367373337004 4209216671255 5051060005506 6734746674008 8418433342510 10102120011012 12627650013765 16836866685020 20204240022024 25255300027530 33673733370040 50510600055060 101021200110120