21101200101000 has 192 divisors, whose sum is σ = 75075849388800. Its totient is φ = 5330829456000.

The previous prime is 21101200100999. The next prime is 21101200101011. The reversal of 21101200101000 is 10100210112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61528416 + ... + 61870415.

It is an arithmetic number, because the mean of its divisors is an integer number (391020048900).

Almost surely, 2^{21101200101000} is an apocalyptic number.

21101200101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101200101000 is an abundant number, since it is smaller than the sum of its proper divisors (53974649287800).

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

21101200101000 is a wasteful number, since it uses less digits than its factorization.

21101200101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123398877 (or 123398860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21101200101000 its reverse (10100210112), we get a palindrome (21111300311112).

The spelling of 21101200101000 in words is "twenty-one trillion, one hundred one billion, two hundred million, one hundred one thousand".