10211012001100 has 36 divisors (see below), whose sum is σ = 22332367692544. Its totient is φ = 4052244127680.

The previous prime is 10211012001083. The next prime is 10211012001109. The reversal of 10211012001100 is 110021011201.

It is a super-3 number, since 3×10211012001100³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10211012001109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401995647 + ... + 402021046.

Almost surely, 2^{10211012001100} is an apocalyptic number.

10211012001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211012001100 is an abundant number, since it is smaller than the sum of its proper divisors (12121355691444).

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

10211012001100 is a wasteful number, since it uses less digits than its factorization.

10211012001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804016834 (or 804016827 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211012001100 its reverse (110021011201), we get a palindrome (10321033012301).

The spelling of 10211012001100 in words is "ten trillion, two hundred eleven billion, twelve million, one thousand, one hundred".