20100102012000 has 288 divisors, whose sum is σ = 71341983576864. Its totient is φ = 5359522176000.

The previous prime is 20100102011993. The next prime is 20100102012019. The reversal of 20100102012000 is 21020100102.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 530873070 + ... + 530910930.

It is an arithmetic number, because the mean of its divisors is an integer number (247715220753).

Almost surely, 2^{20100102012000} is an apocalyptic number.

20100102012000 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 20100102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35670991788432).

20100102012000 is an abundant number, since it is smaller than the sum of its proper divisors (51241881564864).

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

20100102012000 is a wasteful number, since it uses less digits than its factorization.

20100102012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52639 (or 52618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100102012000 its reverse (21020100102), we get a palindrome (20121122112102).

The spelling of 20100102012000 in words is "twenty trillion, one hundred billion, one hundred two million, twelve thousand".