21100102100000 has 576 divisors, whose sum is σ = 65556124139520. Its totient is φ = 6493219200000.

The previous prime is 21100102099997. The next prime is 21100102100003. The reversal of 21100102100000 is 120100112.

It is an interprime number because it is at equal distance from previous prime (21100102099997) and next prime (21100102100003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (21100102100003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608282657 + ... + 608317343.

It is an arithmetic number, because the mean of its divisors is an integer number (113812715520).

Almost surely, 2^{21100102100000} is an apocalyptic number.

21100102100000 is a gapful number since it is divisible by the number (20) 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 21100102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778062069760).

21100102100000 is an abundant number, since it is smaller than the sum of its proper divisors (44456022039520).

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

21100102100000 is an equidigital number, since it uses as much as digits as its factorization.

21100102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34819 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21100102100000 its reverse (120100112), we get a palindrome (21100222200112).

The spelling of 21100102100000 in words is "twenty-one trillion, one hundred billion, one hundred two million, one hundred thousand".