1021022132100 has 144 divisors (see below), whose sum is σ = 3003273569856. Its totient is φ = 267759360000.

The previous prime is 1021022132063. The next prime is 1021022132101. The reversal of 1021022132100 is 12312201201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021022132100.

It is not an unprimeable number, because it can be changed into a prime (1021022132101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12037840 + ... + 12122360.

Almost surely, 2^{1021022132100} is an apocalyptic number.

1021022132100 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 1021022132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501636784928).

1021022132100 is an abundant number, since it is smaller than the sum of its proper divisors (1982251437756).

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

1021022132100 is a wasteful number, since it uses less digits than its factorization.

1021022132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85206 (or 85199 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1021022132100 its reverse (12312201201), we get a palindrome (1033334333301).

The spelling of 1021022132100 in words is "one trillion, twenty-one billion, twenty-two million, one hundred thirty-two thousand, one hundred".