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101221001210106 = 2325623388956117
BaseRepresentation
bin10111000000111101011001…
…110100100010100011111010
3111021101122002121111122120200
4113000331121310202203322
5101231401102302210411
6555140141440103030
730214655525163141
oct2700753164424372
9437348077448520
10101221001210106
112a2856493a2258
12b429384604a76
13446313a67a49b
141add1a05a6758
15ba7ecd095e56
hex5c0f59d228fa

101221001210106 has 12 divisors (see below), whose sum is σ = 219312169288602. Its totient is φ = 33740333736696.

The previous prime is 101221001210071. The next prime is 101221001210111. The reversal of 101221001210106 is 601012100122101.

101221001210106 is digitally balanced in base 4, 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 only one way, i.e., 87517241154225 + 13703760055881 = 9355065^2 + 3701859^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5623388956117 = 101221001210106 / (1 + 0 + 1 + 2 + 2 + 1 + 0 + 0 + 1 + 2 + 1 + 0 + 1 + 0 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2811694478041 + ... + 2811694478076.

Almost surely, 2101221001210106 is an apocalyptic number.

101221001210106 is an abundant number, since it is smaller than the sum of its proper divisors (118091168078496).

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

101221001210106 is a wasteful number, since it uses less digits than its factorization.

101221001210106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623388956125 (or 5623388956122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101221001210106 its reverse (601012100122101), we get a palindrome (702233101332207).

The spelling of 101221001210106 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 9 18 5623388956117 11246777912234 16870166868351 33740333736702 50610500605053 101221001210106