101021021012000 has 96 divisors (see below), whose sum is σ = 248457613950000. Its totient is φ = 40367876812800.

The previous prime is 101021021011973. The next prime is 101021021012011. The reversal of 101021021012000 is 210120120101.

It can be written as a sum of positive squares in 8 ways, for example, as 22003642166416 + 79017378845584 = 4690804^2 + 8889172^2 .

It is a super-3 number, since 3×101021021012000³ (a number of 43 digits) contains 333 as substring.

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, 8677625 + ... + 16653624.

Almost surely, 2^{101021021012000} is an apocalyptic number.

101021021012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021021012000 is an abundant number, since it is smaller than the sum of its proper divisors (147436592938000).

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

101021021012000 is an equidigital number, since it uses as much as digits as its factorization.

101021021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25332271 (or 25332253 counting only the distinct ones).

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

Adding to 101021021012000 its reverse (210120120101), we get a palindrome (101231141132101).

The spelling of 101021021012000 in words is "one hundred one trillion, twenty-one billion, twenty-one million, twelve thousand".