102211010000121 has 96 divisors (see below), whose sum is σ = 161196417002880. Its totient is φ = 57080491776000.

The previous prime is 102211010000117. The next prime is 102211010000137. The reversal of 102211010000121 is 121000010112201.

It is not a de Polignac number, because 102211010000121 - 2² = 102211010000117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102211010000097 and 102211010000106.

It is not an unprimeable number, because it can be changed into a prime (102211010000161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64453425 + ... + 66020193.

It is an arithmetic number, because the mean of its divisors is an integer number (1679129343780).

Almost surely, 2^{102211010000121} is an apocalyptic number.

102211010000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211010000121 is a deficient number, since it is larger than the sum of its proper divisors (58985407002759).

102211010000121 is a wasteful number, since it uses less digits than its factorization.

102211010000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566967 (or 1566944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211010000121 its reverse (121000010112201), we get a palindrome (223211020112322).

The spelling of 102211010000121 in words is "one hundred two trillion, two hundred eleven billion, ten million, one hundred twenty-one", and thus it is an aban number.