1020010112100 has 216 divisors, whose sum is σ = 3814514501280. Its totient is φ = 233145138240.

The previous prime is 1020010112083. The next prime is 1020010112101. The reversal of 1020010112100 is 12110100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020010112101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3722614 + ... + 3987213.

Almost surely, 2^{1020010112100} is an apocalyptic number.

1020010112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010112100 is an abundant number, since it is smaller than the sum of its proper divisors (2794504389180).

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

1020010112100 is a wasteful number, since it uses less digits than its factorization.

1020010112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709864 (or 7709844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020010112100 its reverse (12110100201), we get a palindrome (1032120212301).

The spelling of 1020010112100 in words is "one trillion, twenty billion, ten million, one hundred twelve thousand, one hundred".