101211211012000 has 48 divisors (see below), whose sum is σ = 248675945466312. Its totient is φ = 40484484403200.

The previous prime is 101211211011991. The next prime is 101211211012001. The reversal of 101211211012000 is 210112112101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7040722606096 + 94170488405904 = 2653436^2 + 9704148^2 .

It is not an unprimeable number, because it can be changed into a prime (101211211012001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12651397377 + ... + 12651405376.

Almost surely, 2^{101211211012000} is an apocalyptic number.

101211211012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211211012000 is an abundant number, since it is smaller than the sum of its proper divisors (147464734454312).

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

101211211012000 is an equidigital number, since it uses as much as digits as its factorization.

101211211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25302802778 (or 25302802760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211211012000 its reverse (210112112101), we get a palindrome (101421323124101).

The spelling of 101211211012000 in words is "one hundred one trillion, two hundred eleven billion, two hundred eleven million, twelve thousand".