102111010010200 has 192 divisors, whose sum is σ = 257245584916320. Its totient is φ = 37543941120000.

The previous prime is 102111010010143. The next prime is 102111010010237. The reversal of 102111010010200 is 2010010111201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 1698960150 + ... + 1699020250.

Almost surely, 2^{102111010010200} is an apocalyptic number.

102111010010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111010010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128622792458160).

102111010010200 is an abundant number, since it is smaller than the sum of its proper divisors (155134574906120).

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

102111010010200 is a wasteful number, since it uses less digits than its factorization.

102111010010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71798 (or 71789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102111010010200 its reverse (2010010111201), we get a palindrome (104121020121401).

The spelling of 102111010010200 in words is "one hundred two trillion, one hundred eleven billion, ten million, ten thousand, two hundred".