101211211021200 has 180 divisors, whose sum is σ = 377146021042800. Its totient is φ = 23133991077120.

The previous prime is 101211211021171. The next prime is 101211211021259. The reversal of 101211211021200 is 2120112112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101211211021200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 860580750 + ... + 860698349.

It is an arithmetic number, because the mean of its divisors is an integer number (2095255672460).

Almost surely, 2^{101211211021200} is an apocalyptic number.

101211211021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211211021200 is an abundant number, since it is smaller than the sum of its proper divisors (275934810021600).

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

101211211021200 is a wasteful number, since it uses less digits than its factorization.

101211211021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721279134 (or 1721279116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211211021200 its reverse (2120112112101), we get a palindrome (103331323133301).

The spelling of 101211211021200 in words is "one hundred one trillion, two hundred eleven billion, two hundred eleven million, twenty-one thousand, two hundred".