21101001013100 has 36 divisors (see below), whose sum is σ = 45935463551544. Its totient is φ = 8413434257280.

The previous prime is 21101001013067. The next prime is 21101001013133. The reversal of 21101001013100 is 131010010112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21101001013067) and next prime (21101001013133).

It is a super-2 number, since 2×21101001013100² (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 11 ways as a sum of consecutive naturals, for example, 337045394 + ... + 337107993.

It is an arithmetic number, because the mean of its divisors is an integer number (1275985098654).

Almost surely, 2^{21101001013100} is an apocalyptic number.

21101001013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101001013100 is an abundant number, since it is smaller than the sum of its proper divisors (24834462538444).

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

21101001013100 is a wasteful number, since it uses less digits than its factorization.

21101001013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674153714 (or 674153707 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 21101001013100 its reverse (131010010112), we get a palindrome (21232011023212).

The spelling of 21101001013100 in words is "twenty-one trillion, one hundred one billion, one million, thirteen thousand, one hundred".