102212010101120 has 32 divisors (see below), whose sum is σ = 244350586649520. Its totient is φ = 40884804040192.

The previous prime is 102212010101119. The next prime is 102212010101141. The reversal of 102212010101120 is 21101010212201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×102212010101120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212010101095 and 102212010101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79853132252 + ... + 79853133531.

Almost surely, 2^{102212010101120} is an apocalyptic number.

102212010101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212010101120 is an abundant number, since it is smaller than the sum of its proper divisors (142138576548400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212010101120 is an equidigital number, since it uses as much as digits as its factorization.

102212010101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159706265802 (or 159706265790 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102212010101120 its reverse (21101010212201), we get a palindrome (123313020313321).

The spelling of 102212010101120 in words is "one hundred two trillion, two hundred twelve billion, ten million, one hundred one thousand, one hundred twenty".