10102103011 has 64 divisors (see below), whose sum is σ = 13829308416. Its totient is φ = 7125148800.

The previous prime is 10102103003. The next prime is 10102103051. The reversal of 10102103011 is 11030120101.

10102103011 is a nontrivial binomial coefficient, being equal to C(142142, 2).

It is not a de Polignac number, because 10102103011 - 2³ = 10102103003 is a prime.

It is a super-2 number, since 2×10102103011² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102103051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21818566 + ... + 21819028.

It is an arithmetic number, because the mean of its divisors is an integer number (216082944).

Almost surely, 2^10102103011 is an apocalyptic number.

10102103011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102103011 is the 142141-st triangular number and also the 71071-st hexagonal number.

10102103011 is the 47381-st centered nonagonal number.

10102103011 is a deficient number, since it is larger than the sum of its proper divisors (3727205405).

10102103011 is a wasteful number, since it uses less digits than its factorization.

10102103011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10102103011 its reverse (11030120101), we get a palindrome (21132223112).

The spelling of 10102103011 in words is "ten billion, one hundred two million, one hundred three thousand, eleven".