102101112211120 has 120 divisors (see below), whose sum is σ = 269924906044080. Its totient is φ = 35847412339200.

The previous prime is 102101112211097. The next prime is 102101112211121. The reversal of 102101112211120 is 21112211101201.

It is a super-2 number, since 2×102101112211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102101112211094 and 102101112211103.

It is not an unprimeable number, because it can be changed into a prime (102101112211121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181575066 + ... + 182136505.

It is an arithmetic number, because the mean of its divisors is an integer number (2249374217034).

Almost surely, 2^{102101112211120} is an apocalyptic number.

102101112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101112211120 is an abundant number, since it is smaller than the sum of its proper divisors (167823793832960).

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

102101112211120 is a wasteful number, since it uses less digits than its factorization.

102101112211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363711635 (or 363711618 counting only the distinct ones).

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

Adding to 102101112211120 its reverse (21112211101201), we get a palindrome (123213323312321).

The spelling of 102101112211120 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".