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100102202020021 = 3132129150218573
BaseRepresentation
bin10110110000101011011100…
…001100010101000010110101
3111010102200021120110002010111
4112300223130030111002311
5101110033302204120041
6552522152230423021
730041100612032215
oct2660533414250265
9433380246402114
10100102202020021
1129994118421533
12b288588b01a71
1343b179bc135c6
141aa0d884b8245
15b88d4bec4981
hex5b0adc3150b5

100102202020021 has 8 divisors (see below), whose sum is σ = 100469186662680. Its totient is φ = 99735517819392.

The previous prime is 100102202019979. The next prime is 100102202020031. The reversal of 100102202020021 is 120020202201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1760053288900 + 98342148731121 = 1326670^2 + 9916761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100102202020021 - 211 = 100102202017973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102202019983 and 100102202020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102202020031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74442910 + ... + 75775663.

It is an arithmetic number, because the mean of its divisors is an integer number (12558648332835).

Almost surely, 2100102202020021 is an apocalyptic number.

It is an amenable number.

100102202020021 is a deficient number, since it is larger than the sum of its proper divisors (366984642659).

100102202020021 is a wasteful number, since it uses less digits than its factorization.

100102202020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150221015.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102202020021 its reverse (120020202201001), we get a palindrome (220122404221022).

The spelling of 100102202020021 in words is "one hundred trillion, one hundred two billion, two hundred two million, twenty thousand, twenty-one".

Divisors: 1 313 2129 666377 150218573 47018413349 319815341917 100102202020021