102101212210120 has 32 divisors (see below), whose sum is σ = 229742754535800. Its totient is φ = 40837813406208.

The previous prime is 102101212210093. The next prime is 102101212210171. The reversal of 102101212210120 is 21012212101201.

It can be written as a sum of positive squares in 4 ways, for example, as 101220944183044 + 880268027076 = 10060862^2 + 938226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101212210094 and 102101212210103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82864479 + ... + 84087598.

Almost surely, 2^{102101212210120} is an apocalyptic number.

102101212210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101212210120 is an abundant number, since it is smaller than the sum of its proper divisors (127641542325680).

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

102101212210120 is a wasteful number, since it uses less digits than its factorization.

102101212210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166967377 (or 166967373 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102101212210120 its reverse (21012212101201), we get a palindrome (123113424311321).

The spelling of 102101212210120 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".