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102120002121221 = 7237915835071973
BaseRepresentation
bin10111001110000010101010…
…011100110110111000000101
3111101120120120112022202111222
4113032002222130312320011
5101341113231020334341
61001105140433410125
730336632564636120
oct2716025234667005
9441516515282458
10102120002121221
112a5a1938a30857
12b55365a109945
1344c9b4b158026
141b308c4ddb3b7
15bc1597a2144b
hex5ce0aa736e05

102120002121221 has 32 divisors (see below), whose sum is σ = 123402344693760. Its totient is φ = 82613659512384.

The previous prime is 102120002121217. The next prime is 102120002121257. The reversal of 102120002121221 is 122121200021201.

It is not a de Polignac number, because 102120002121221 - 22 = 102120002121217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102120002121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120002121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17598191 + ... + 22670163.

It is an arithmetic number, because the mean of its divisors is an integer number (3856323271680).

Almost surely, 2102120002121221 is an apocalyptic number.

It is an amenable number.

102120002121221 is a deficient number, since it is larger than the sum of its proper divisors (21282342572539).

102120002121221 is a wasteful number, since it uses less digits than its factorization.

102120002121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073665.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102120002121221 its reverse (122121200021201), we get a palindrome (224241202142422).

The spelling of 102120002121221 in words is "one hundred two trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 23 79 161 553 1583 1817 11081 12719 36409 125057 254863 875399 2876311 5071973 20134177 35503811 116655379 400685867 816587653 2804801069 8028933259 9215774941 56202532813 64510424587 184665464957 634285727461 1292658254699 4440000092227 14588571731603 102120002121221