1202112202100 has 72 divisors (see below), whose sum is σ = 2726355215640. Its totient is φ = 459477688320.

The previous prime is 1202112202079. The next prime is 1202112202103. The reversal of 1202112202100 is 12022112021.

It can be written as a sum of positive squares in 12 ways, for example, as 108586066576 + 1093526135524 = 329524^2 + 1045718^2 .

It is a super-2 number, since 2×1202112202100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202112202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855409 + ... + 2418008.

Almost surely, 2^{1202112202100} is an apocalyptic number.

1202112202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202112202100 is an abundant number, since it is smaller than the sum of its proper divisors (1524243013540).

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

1202112202100 is a wasteful number, since it uses less digits than its factorization.

1202112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273557 (or 4273550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1202112202100 its reverse (12022112021), we get a palindrome (1214134314121).

The spelling of 1202112202100 in words is "one trillion, two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred".