100212102121520 has 120 divisors (see below), whose sum is σ = 252862418349792. Its totient is φ = 36806739681280.

The previous prime is 100212102121519. The next prime is 100212102121543. The reversal of 100212102121520 is 25121201212001.

It is a super-2 number, since 2×100212102121520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100212102121492 and 100212102121501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19630964 + ... + 24203283.

Almost surely, 2^{100212102121520} is an apocalyptic number.

100212102121520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212102121520 is an abundant number, since it is smaller than the sum of its proper divisors (152650316228272).

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

100212102121520 is a wasteful number, since it uses less digits than its factorization.

100212102121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43834359 (or 43834312 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 100212102121520 its reverse (25121201212001), we get a palindrome (125333303333521).

The spelling of 100212102121520 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, five hundred twenty".