10002102011110 has 128 divisors (see below), whose sum is σ = 21192870647808. Its totient is φ = 3357848832000.

The previous prime is 10002102011071. The next prime is 10002102011113. The reversal of 10002102011110 is 1111020120001.

10002102011110 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 not an unprimeable number, because it can be changed into a prime (10002102011113) 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, 625475215 + ... + 625491205.

It is an arithmetic number, because the mean of its divisors is an integer number (165569301936).

Almost surely, 2^{10002102011110} is an apocalyptic number.

10002102011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002102011110 is an abundant number, since it is smaller than the sum of its proper divisors (11190768636698).

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

10002102011110 is a wasteful number, since it uses less digits than its factorization.

10002102011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22390.

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

Adding to 10002102011110 its reverse (1111020120001), we get a palindrome (11113122131111).

It can be divided in two parts, 100021020111 and 10, that added together give a square (100021020121 = 316261²).

The spelling of 10002102011110 in words is "ten trillion, two billion, one hundred two million, eleven thousand, one hundred ten".