1020111122100 has 72 divisors (see below), whose sum is σ = 3373167450688. Its totient is φ = 233168256000.

The previous prime is 1020111122087. The next prime is 1020111122113. The reversal of 1020111122100 is 12211110201.

It is an interprime number because it is at equal distance from previous prime (1020111122087) and next prime (1020111122113).

It is a super-2 number, since 2×1020111122100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242881501 + ... + 242885700.

Almost surely, 2^{1020111122100} is an apocalyptic number.

1020111122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020111122100 is an abundant number, since it is smaller than the sum of its proper divisors (2353056328588).

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

1020111122100 is a wasteful number, since it uses less digits than its factorization.

1020111122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485767225 (or 485767218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020111122100 its reverse (12211110201), we get a palindrome (1032322232301).

The spelling of 1020111122100 in words is "one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".