102120110020010 has 32 divisors (see below), whose sum is σ = 184334270000400. Its totient is φ = 40732982886400.

The previous prime is 102120110019943. The next prime is 102120110020067. The reversal of 102120110020010 is 10020011021201.

It can be written as a sum of positive squares in 8 ways, for example, as 86573515551121 + 15546594468889 = 9304489^2 + 3942917^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102120110019973 and 102120110020000.

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 15 ways as a sum of consecutive naturals, for example, 8264786 + ... + 16508994.

Almost surely, 2^{102120110020010} is an apocalyptic number.

102120110020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120110020010 is a deficient number, since it is larger than the sum of its proper divisors (82214159980390).

102120110020010 is a wasteful number, since it uses less digits than its factorization.

102120110020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247706.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102120110020010 its reverse (10020011021201), we get a palindrome (112140121041211).

The spelling of 102120110020010 in words is "one hundred two trillion, one hundred twenty billion, one hundred ten million, twenty thousand, ten".