102011000011120 has 40 divisors (see below), whose sum is σ = 239043099262464. Its totient is φ = 40483105512192.

The previous prime is 102011000011043. The next prime is 102011000011121. The reversal of 102011000011120 is 21110000110201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102011000011097 and 102011000011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011000011121) 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, 5020216219 + ... + 5020236538.

Almost surely, 2^{102011000011120} is an apocalyptic number.

102011000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011000011120 is an abundant number, since it is smaller than the sum of its proper divisors (137032099251344).

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

102011000011120 is a wasteful number, since it uses less digits than its factorization.

102011000011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040452897 (or 10040452891 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102011000011120 its reverse (21110000110201), we get a palindrome (123121000121321).

The spelling of 102011000011120 in words is "one hundred two trillion, eleven billion, eleven thousand, one hundred twenty".