102101220121120 has 48 divisors (see below), whose sum is σ = 263142690043968. Its totient is φ = 37127716407040.

The previous prime is 102101220121081. The next prime is 102101220121231. The reversal of 102101220121120 is 21121022101201.

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 = 102101220121094 and 102101220121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29006026684 + ... + 29006030203.

It is an arithmetic number, because the mean of its divisors is an integer number (5482139375916).

Almost surely, 2^{102101220121120} is an apocalyptic number.

102101220121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101220121120 is an abundant number, since it is smaller than the sum of its proper divisors (161041469922848).

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

102101220121120 is a wasteful number, since it uses less digits than its factorization.

102101220121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58012056913 (or 58012056905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102101220121120 its reverse (21121022101201), we get a palindrome (123222242222321).

The spelling of 102101220121120 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".