101211100201200 has 120 divisors (see below), whose sum is σ = 353686790203776. Its totient is φ = 24536024288000.

The previous prime is 101211100201199. The next prime is 101211100201247. The reversal of 101211100201200 is 2102001112101.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3833740596 + ... + 3833766995.

Almost surely, 2^{101211100201200} is an apocalyptic number.

101211100201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211100201200 is an abundant number, since it is smaller than the sum of its proper divisors (252475690002576).

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

101211100201200 is a wasteful number, since it uses less digits than its factorization.

101211100201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7667507623 (or 7667507612 counting only the distinct ones).

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

Adding to 101211100201200 its reverse (2102001112101), we get a palindrome (103313101313301).

The spelling of 101211100201200 in words is "one hundred one trillion, two hundred eleven billion, one hundred million, two hundred one thousand, two hundred".