10211001112100 has 72 divisors (see below), whose sum is σ = 22396714539360. Its totient is φ = 4040512519680.

The previous prime is 10211001112061. The next prime is 10211001112111. The reversal of 10211001112100 is 121110011201.

It is a super-2 number, since 2×10211001112100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5046011 + ... + 6773789.

Almost surely, 2^{10211001112100} is an apocalyptic number.

10211001112100 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 10211001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198357269680).

10211001112100 is an abundant number, since it is smaller than the sum of its proper divisors (12185713427260).

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

10211001112100 is a wasteful number, since it uses less digits than its factorization.

10211001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728429 (or 1728422 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211001112100 its reverse (121110011201), we get a palindrome (10332111123301).

The spelling of 10211001112100 in words is "ten trillion, two hundred eleven billion, one million, one hundred twelve thousand, one hundred".