100211102020000 has 240 divisors, whose sum is σ = 254364552288000. Its totient is φ = 38825383680000.

The previous prime is 100211102019923. The next prime is 100211102020027. The reversal of 100211102020000 is 20201112001.

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 39 ways as a sum of consecutive naturals, for example, 113540401 + ... + 114419599.

It is an arithmetic number, because the mean of its divisors is an integer number (1059852301200).

Almost surely, 2^{100211102020000} is an apocalyptic number.

100211102020000 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 100211102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127182276144000).

100211102020000 is an abundant number, since it is smaller than the sum of its proper divisors (154153450268000).

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

100211102020000 is an equidigital number, since it uses as much as digits as its factorization.

100211102020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879409 (or 879386 counting only the distinct ones).

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

Adding to 100211102020000 its reverse (20201112001), we get a palindrome (100231303132001).

The spelling of 100211102020000 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, twenty thousand".