102011101021200 has 240 divisors, whose sum is σ = 377155388117376. Its totient is φ = 23085963264000.

The previous prime is 102011101021133. The next prime is 102011101021213. The reversal of 102011101021200 is 2120101110201.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 59271297 + ... + 60968096.

Almost surely, 2^{102011101021200} is an apocalyptic number.

102011101021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011101021200 is an abundant number, since it is smaller than the sum of its proper divisors (275144287096176).

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

102011101021200 is a wasteful number, since it uses less digits than its factorization.

102011101021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120239522 (or 120239511 counting only the distinct ones).

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

Adding to 102011101021200 its reverse (2120101110201), we get a palindrome (104131202131401).

The spelling of 102011101021200 in words is "one hundred two trillion, eleven billion, one hundred one million, twenty-one thousand, two hundred".