102211001200 has 180 divisors, whose sum is σ = 311622847272. Its totient is φ = 31857907200.

The previous prime is 102211001159. The next prime is 102211001251. The reversal of 102211001200 is 2100112201.

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 35 ways as a sum of consecutive naturals, for example, 21439 + ... + 452638.

Almost surely, 2^102211001200 is an apocalyptic number.

102211001200 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 102211001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155811423636).

102211001200 is an abundant number, since it is smaller than the sum of its proper divisors (209411846072).

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

102211001200 is a wasteful number, since it uses less digits than its factorization.

102211001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474120 (or 474102 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102211001200 its reverse (2100112201), we get a palindrome (104311113401).

The spelling of 102211001200 in words is "one hundred two billion, two hundred eleven million, one thousand, two hundred".