10200122112110 has 48 divisors (see below), whose sum is σ = 21369223811520. Its totient is φ = 3495315257280.

The previous prime is 10200122112101. The next prime is 10200122112119. The reversal of 10200122112110 is 1121122100201.

It is an interprime number because it is at equal distance from previous prime (10200122112101) and next prime (10200122112119).

It is a super-2 number, since 2×10200122112110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122112119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4646165 + ... + 6479744.

It is an arithmetic number, because the mean of its divisors is an integer number (445192162740).

Almost surely, 2^{10200122112110} is an apocalyptic number.

10200122112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200122112110 is an abundant number, since it is smaller than the sum of its proper divisors (11169101699410).

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

10200122112110 is a wasteful number, since it uses less digits than its factorization.

10200122112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127801 (or 11127794 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10200122112110 its reverse (1121122100201), we get a palindrome (11321244212311).

The spelling of 10200122112110 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ten".