20101002012 has 192 divisors, whose sum is σ = 64241587200. Its totient is φ = 5292967680.

The previous prime is 20101001983. The next prime is 20101002023. The reversal of 20101002012 is 21020010102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20101001985 and 20101002003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8441062 + ... + 8443442.

It is an arithmetic number, because the mean of its divisors is an integer number (334591600).

Almost surely, 2^20101002012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32120793600).

20101002012 is an abundant number, since it is smaller than the sum of its proper divisors (44140585188).

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

20101002012 is a wasteful number, since it uses less digits than its factorization.

20101002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

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

Adding to 20101002012 its reverse (21020010102), we get a palindrome (41121012114).

The spelling of 20101002012 in words is "twenty billion, one hundred one million, two thousand, twelve".