10011011202100 has 36 divisors (see below), whose sum is σ = 21724146065664. Its totient is φ = 4004358074080.

The previous prime is 10011011201981. The next prime is 10011011202103. The reversal of 10011011202100 is 120211011001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011202103) 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, 8855559 + ... + 9921841.

It is an arithmetic number, because the mean of its divisors is an integer number (603448501824).

Almost surely, 2^{10011011202100} is an apocalyptic number.

10011011202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011011202100 is an abundant number, since it is smaller than the sum of its proper divisors (11713134863564).

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

10011011202100 is a wasteful number, since it uses less digits than its factorization.

10011011202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160184 (or 1160177 counting only the distinct ones).

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

Adding to 10011011202100 its reverse (120211011001), we get a palindrome (10131222213101).

The spelling of 10011011202100 in words is "ten trillion, eleven billion, eleven million, two hundred two thousand, one hundred".