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101210212110020 = 225131013854158877
BaseRepresentation
bin10111000000110011010110…
…101111011000111011000100
3111021100121020200220120122012
4113000303112233120323010
5101231212003300010040
6555131155104153352
730214124256302636
oct2700632657307304
9437317220816565
10101210212110020
112a281012211712
12b427273308858
13446210b3554b0
141adc859714a56
15ba7a9acb5865
hex5c0cd6bd8ec4

101210212110020 has 48 divisors (see below), whose sum is σ = 231157032866928. Its totient is φ = 36999925209600.

The previous prime is 101210212109983. The next prime is 101210212110067. The reversal of 101210212110020 is 20011212012101.

101210212110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 234563925124 + 100975648184896 = 484318^2 + 10048664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101210212109977 and 101210212110004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927053179 + ... + 1927105698.

It is an arithmetic number, because the mean of its divisors is an integer number (4815771518061).

Almost surely, 2101210212110020 is an apocalyptic number.

101210212110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210212110020 is an abundant number, since it is smaller than the sum of its proper divisors (129946820756908).

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

101210212110020 is a wasteful number, since it uses less digits than its factorization.

101210212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854159000 (or 3854158998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101210212110020 its reverse (20011212012101), we get a palindrome (121221424122121).

The spelling of 101210212110020 in words is "one hundred one trillion, two hundred ten billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 3854158877 7708317754 15416635508 19270794385 38541588770 50104065401 77083177540 100208130802 200416261604 250520327005 389270046577 501040654010 778540093154 1002081308020 1557080186308 1946350232885 3892700465770 5060510605501 7785400931540 10121021211002 20242042422004 25302553027505 50605106055010 101210212110020