10214100450120 has 128 divisors (see below), whose sum is σ = 35513009418240. Its totient is φ = 2301769102080.

The previous prime is 10214100450079. The next prime is 10214100450149. The reversal of 10214100450120 is 2105400141201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85571652 + ... + 85690931.

It is an arithmetic number, because the mean of its divisors is an integer number (277445386080).

Almost surely, 2^{10214100450120} is an apocalyptic number.

10214100450120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214100450120 is an abundant number, since it is smaller than the sum of its proper divisors (25298908968120).

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

10214100450120 is a wasteful number, since it uses less digits than its factorization.

10214100450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171262675 (or 171262671 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10214100450120 its reverse (2105400141201), we get a palindrome (12319500591321).

The spelling of 10214100450120 in words is "ten trillion, two hundred fourteen billion, one hundred million, four hundred fifty thousand, one hundred twenty".