102201102101020 has 24 divisors (see below), whose sum is σ = 231131723213664. Its totient is φ = 37735791544896.

The previous prime is 102201102101017. The next prime is 102201102101023. The reversal of 102201102101020 is 20101201102201.

It is an interprime number because it is at equal distance from previous prime (102201102101017) and next prime (102201102101023).

It is a super-2 number, since 2×102201102101020² (a number of 29 digits) contains 22 as substring.

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 (102201102101023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196540580704 + ... + 196540581223.

It is an arithmetic number, because the mean of its divisors is an integer number (9630488467236).

Almost surely, 2^{102201102101020} is an apocalyptic number.

102201102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201102101020 is an abundant number, since it is smaller than the sum of its proper divisors (128930621112644).

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

102201102101020 is a wasteful number, since it uses less digits than its factorization.

102201102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393081161949 (or 393081161947 counting only the distinct ones).

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

Adding to 102201102101020 its reverse (20101201102201), we get a palindrome (122302303203221).

The spelling of 102201102101020 in words is "one hundred two trillion, two hundred one billion, one hundred two million, one hundred one thousand, twenty".