102121221001200 has 120 divisors (see below), whose sum is σ = 327132105697776. Its totient is φ = 27232009728000.

The previous prime is 102121221001171. The next prime is 102121221001231. The reversal of 102121221001200 is 2100122121201.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102121221001200.

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, 114083370 + ... + 114975030.

Almost surely, 2^{102121221001200} is an apocalyptic number.

102121221001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121221001200 is an abundant number, since it is smaller than the sum of its proper divisors (225010884696576).

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

102121221001200 is a wasteful number, since it uses less digits than its factorization.

102121221001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987123 (or 987112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102121221001200 its reverse (2100122121201), we get a palindrome (104221343122401).

The spelling of 102121221001200 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-one million, one thousand, two hundred".