1021211012100 has 144 divisors (see below), whose sum is σ = 2964086286336. Its totient is φ = 271459344000.

The previous prime is 1021211012093. The next prime is 1021211012111. The reversal of 1021211012100 is 12101121201.

1021211012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195369687 + ... + 195374913.

It is an arithmetic number, because the mean of its divisors is an integer number (20583932544).

Almost surely, 2^{1021211012100} is an apocalyptic number.

1021211012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021211012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482043143168).

1021211012100 is an abundant number, since it is smaller than the sum of its proper divisors (1942875274236).

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

1021211012100 is a wasteful number, since it uses less digits than its factorization.

1021211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186 (or 7179 counting only the distinct ones).

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

Adding to 1021211012100 its reverse (12101121201), we get a palindrome (1033312133301).

The spelling of 1021211012100 in words is "one trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred".