100102131101221 has 16 divisors (see below), whose sum is σ = 106573894689600. Its totient is φ = 93696121951488.

The previous prime is 100102131101183. The next prime is 100102131101353. The reversal of 100102131101221 is 122101131201001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100102131101221 - 2³³ = 100093541166629 is a prime.

It is a super-2 number, since 2×100102131101221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102131101195 and 100102131101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102131107221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11122711 + ... + 17997748.

It is an arithmetic number, because the mean of its divisors is an integer number (6660868418100).

Almost surely, 2^{100102131101221} is an apocalyptic number.

It is an amenable number.

100102131101221 is a deficient number, since it is larger than the sum of its proper divisors (6471763588379).

100102131101221 is a wasteful number, since it uses less digits than its factorization.

100102131101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29121588.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100102131101221 its reverse (122101131201001), we get a palindrome (222203262302222).

The spelling of 100102131101221 in words is "one hundred trillion, one hundred two billion, one hundred thirty-one million, one hundred one thousand, two hundred twenty-one".