10121111011000 has 64 divisors (see below), whose sum is σ = 25836436136160. Its totient is φ = 3680404000000.

The previous prime is 10121111010943. The next prime is 10121111011049. The reversal of 10121111011000 is 11011112101.

10121111011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 460039501 + ... + 460061500.

Almost surely, 2^{10121111011000} is an apocalyptic number.

10121111011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111011000 is an abundant number, since it is smaller than the sum of its proper divisors (15715325125160).

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

10121111011000 is a wasteful number, since it uses less digits than its factorization.

10121111011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920101033 (or 920101019 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10121111011000 its reverse (11011112101), we get a palindrome (10132122123101).

It can be divided in two parts, 1012111101 and 1000, that added together give a palindrome (1012112101).

The spelling of 10121111011000 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, eleven thousand".