102211000100200 has 48 divisors (see below), whose sum is σ = 251619432607980. Its totient is φ = 38479435330560.

The previous prime is 102211000100137. The next prime is 102211000100201. The reversal of 102211000100200 is 2001000112201.

It can be written as a sum of positive squares in 6 ways, for example, as 25353621716644 + 76857378383556 = 5035238^2 + 8766834^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102211000100201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15031026027 + ... + 15031032826.

Almost surely, 2^{102211000100200} is an apocalyptic number.

102211000100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211000100200 is an abundant number, since it is smaller than the sum of its proper divisors (149408432507780).

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

102211000100200 is a wasteful number, since it uses less digits than its factorization.

102211000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30062058886 (or 30062058877 counting only the distinct ones).

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

Adding to 102211000100200 its reverse (2001000112201), we get a palindrome (104212000212401).

The spelling of 102211000100200 in words is "one hundred two trillion, two hundred eleven billion, one hundred thousand, two hundred".