101211022000 has 160 divisors (see below), whose sum is σ = 272659405824. Its totient is φ = 36020576000.

The previous prime is 101211021997. The next prime is 101211022039. The reversal of 101211022000 is 220112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 985059 + ... + 1082941.

Almost surely, 2^101211022000 is an apocalyptic number.

101211022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136329702912).

101211022000 is an abundant number, since it is smaller than the sum of its proper divisors (171448383824).

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

101211022000 is a wasteful number, since it uses less digits than its factorization.

101211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97964 (or 97948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101211022000 its reverse (220112101), we get a palindrome (101431134101).

The spelling of 101211022000 in words is "one hundred one billion, two hundred eleven million, twenty-two thousand".