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102220202121201 = 32176731307759547
BaseRepresentation
bin10111001111011111111110…
…110101100001011111110001
3111101221011012122022011011100
4113033133332311201133301
5101344233433220334301
61001223151303235013
730350110620612003
oct2717377665413761
9441834178264140
10102220202121201
112a63038724989a
12b56ab62a48a69
134506429221a48
141b356ac840373
15bc3eae5b5286
hex5cf7fed617f1

102220202121201 has 48 divisors (see below), whose sum is σ = 156689077057344. Its totient is φ = 63993780006912.

The previous prime is 102220202121179. The next prime is 102220202121277. The reversal of 102220202121201 is 102121202022201.

It is a happy number.

102220202121201 is a `hidden beast` number, since 10 + 2 + 220 + 20 + 212 + 1 + 201 = 666.

It is not a de Polignac number, because 102220202121201 - 27 = 102220202121073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102220202121101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134200710 + ... + 134960256.

It is an arithmetic number, because the mean of its divisors is an integer number (3264355772028).

Almost surely, 2102220202121201 is an apocalyptic number.

It is an amenable number.

102220202121201 is a deficient number, since it is larger than the sum of its proper divisors (54468874936143).

102220202121201 is a wasteful number, since it uses less digits than its factorization.

102220202121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761550 (or 761547 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102220202121201 its reverse (102121202022201), we get a palindrome (204341404143402).

The spelling of 102220202121201 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 17 51 153 673 1307 2019 3921 6057 11441 11763 22219 34323 66657 102969 199971 759547 879611 2278641 2638833 6835923 7916499 12912299 14953387 38736897 44860161 116210691 134580483 511175131 992727929 1533525393 2978183787 4600576179 8689977227 8934551361 16876374793 26069931681 50629124379 78209795043 151887373137 668105896217 2004317688651 6012953065953 11357800235689 34073400707067 102220202121201