1000212002100 has 108 divisors (see below), whose sum is σ = 3163871731020. Its totient is φ = 264276172800.

The previous prime is 1000212002093. The next prime is 1000212002117. The reversal of 1000212002100 is 12002120001.

It can be written as a sum of positive squares in 6 ways, for example, as 6833006244 + 993378995856 = 82662^2 + 996684^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4999821 + ... + 5196020.

Almost surely, 2^{1000212002100} is an apocalyptic number.

1000212002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212002100 is an abundant number, since it is smaller than the sum of its proper divisors (2163659728920).

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

1000212002100 is a wasteful number, since it uses less digits than its factorization.

1000212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195970 (or 10195960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000212002100 its reverse (12002120001), we get a palindrome (1012214122101).

The spelling of 1000212002100 in words is "one trillion, two hundred twelve million, two thousand, one hundred".