102011121101120 has 112 divisors (see below), whose sum is σ = 302853795965568. Its totient is φ = 31795674101760.

The previous prime is 102011121101101. The next prime is 102011121101171. The reversal of 102011121101120 is 21101121110201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102011121101095 and 102011121101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070006227 + ... + 2070055506.

Almost surely, 2^{102011121101120} is an apocalyptic number.

102011121101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011121101120 is an abundant number, since it is smaller than the sum of its proper divisors (200842674864448).

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

102011121101120 is a wasteful number, since it uses less digits than its factorization.

102011121101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140061768 (or 4140061758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102011121101120 its reverse (21101121110201), we get a palindrome (123112242211321).

The spelling of 102011121101120 in words is "one hundred two trillion, eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".