102120001021010 has 24 divisors (see below), whose sum is σ = 213826777649100. Its totient is φ = 35012571778464.

The previous prime is 102120001020991. The next prime is 102120001021151. The reversal of 102120001021010 is 10120100021201.

It can be written as a sum of positive squares in 2 ways, for example, as 101872302698761 + 247698322249 = 10093181^2 + 497693^2 .

It is a super-2 number, since 2×102120001021010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120001020982 and 102120001021000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104204082185 + ... + 104204083164.

Almost surely, 2^{102120001021010} is an apocalyptic number.

102120001021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120001021010 is an abundant number, since it is smaller than the sum of its proper divisors (111706776628090).

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

102120001021010 is a wasteful number, since it uses less digits than its factorization.

102120001021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208408165370 (or 208408165363 counting only the distinct ones).

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

Adding to 102120001021010 its reverse (10120100021201), we get a palindrome (112240101042211).

The spelling of 102120001021010 in words is "one hundred two trillion, one hundred twenty billion, one million, twenty-one thousand, ten".