102201102211000 has 64 divisors (see below), whose sum is σ = 257546777604480. Its totient is φ = 37735791580800.

The previous prime is 102201102210983. The next prime is 102201102211009. The reversal of 102201102211000 is 112201102201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201102211009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3930798624 + ... + 3930824623.

It is an arithmetic number, because the mean of its divisors is an integer number (4024168400070).

Almost surely, 2^{102201102211000} is an apocalyptic number.

102201102211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201102211000 is an abundant number, since it is smaller than the sum of its proper divisors (155345675393480).

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

102201102211000 is a wasteful number, since it uses less digits than its factorization.

102201102211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861623281 (or 7861623267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201102211000 its reverse (112201102201), we get a palindrome (102313303313201).

It can be divided in two parts, 102201 and 102211000, that added together give a palindrome (102313201).

The spelling of 102201102211000 in words is "one hundred two trillion, two hundred one billion, one hundred two million, two hundred eleven thousand".