10100002122110 has 32 divisors (see below), whose sum is σ = 18466972101792. Its totient is φ = 3976332243840.

The previous prime is 10100002122097. The next prime is 10100002122137. The reversal of 10100002122110 is 1122120000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100002122091 and 10100002122100.

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, 5590877 + ... + 7173416.

It is an arithmetic number, because the mean of its divisors is an integer number (577092878181).

Almost surely, 2^{10100002122110} is an apocalyptic number.

10100002122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100002122110 is a deficient number, since it is larger than the sum of its proper divisors (8366969979682).

10100002122110 is a wasteful number, since it uses less digits than its factorization.

10100002122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765548.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100002122110 its reverse (1122120000101), we get a palindrome (11222122122211).

The spelling of 10100002122110 in words is "ten trillion, one hundred billion, two million, one hundred twenty-two thousand, one hundred ten".