101011002121200 has 120 divisors (see below), whose sum is σ = 323946851931648. Its totient is φ = 26905054595840.

The previous prime is 101011002121187. The next prime is 101011002121223. The reversal of 101011002121200 is 2121200110101.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47733714 + ... + 49804913.

Almost surely, 2^{101011002121200} is an apocalyptic number.

101011002121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011002121200 is an abundant number, since it is smaller than the sum of its proper divisors (222935849810448).

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

101011002121200 is a wasteful number, since it uses less digits than its factorization.

101011002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97539511 (or 97539500 counting only the distinct ones).

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

Adding to 101011002121200 its reverse (2121200110101), we get a palindrome (103132202231301).

The spelling of 101011002121200 in words is "one hundred one trillion, eleven billion, two million, one hundred twenty-one thousand, two hundred".