1020212222100 has 144 divisors (see below), whose sum is σ = 3045194761728. Its totient is φ = 263516060160.

The previous prime is 1020212222087. The next prime is 1020212222207. The reversal of 1020212222100 is 12222120201.

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 1020212222100.

It is a congruent number.

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, 2269222 + ... + 2681378.

Almost surely, 2^{1020212222100} is an apocalyptic number.

1020212222100 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 1020212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522597380864).

1020212222100 is an abundant number, since it is smaller than the sum of its proper divisors (2024982539628).

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

1020212222100 is a wasteful number, since it uses less digits than its factorization.

1020212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412434 (or 412427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020212222100 its reverse (12222120201), we get a palindrome (1032434342301).

The spelling of 1020212222100 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".