1000010102120 has 64 divisors (see below), whose sum is σ = 2272589049600. Its totient is φ = 395993260800.

The previous prime is 1000010102081. The next prime is 1000010102123. The reversal of 1000010102120 is 212010100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1000010102098 and 1000010102107.

It is not an unprimeable number, because it can be changed into a prime (1000010102123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63529211 + ... + 63544949.

It is an arithmetic number, because the mean of its divisors is an integer number (35509203900).

Almost surely, 2^{1000010102120} is an apocalyptic number.

1000010102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000010102120 is an abundant number, since it is smaller than the sum of its proper divisors (1272578947480).

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

1000010102120 is a wasteful number, since it uses less digits than its factorization.

1000010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31578 (or 31574 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000010102120 its reverse (212010100001), we get a palindrome (1212020202121).

The spelling of 1000010102120 in words is "one trillion, ten million, one hundred two thousand, one hundred twenty".