20101012212000 has 192 divisors, whose sum is σ = 65869284184704. Its totient is φ = 5358774758400.

The previous prime is 20101012211981. The next prime is 20101012212013. The reversal of 20101012212000 is 21221010102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43124187 + ... + 43587813.

It is an arithmetic number, because the mean of its divisors is an integer number (343069188462).

Almost surely, 2^{20101012212000} is an apocalyptic number.

20101012212000 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 20101012212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32934642092352).

20101012212000 is an abundant number, since it is smaller than the sum of its proper divisors (45768271972704).

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

20101012212000 is a wasteful number, since it uses less digits than its factorization.

20101012212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467268 (or 467250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101012212000 its reverse (21221010102), we get a palindrome (20122233222102).

The spelling of 20101012212000 in words is "twenty trillion, one hundred one billion, twelve million, two hundred twelve thousand".