20101212032 has 128 divisors (see below), whose sum is σ = 46176134400. Its totient is φ = 8620093440.

The previous prime is 20101212023. The next prime is 20101212059. The reversal of 20101212032 is 23021210102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×20101212032³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101211998 and 20101212016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7034348 + ... + 7037204.

It is an arithmetic number, because the mean of its divisors is an integer number (360751050).

Almost surely, 2^20101212032 is an apocalyptic number.

20101212032 is a gapful number since it is divisible by the number (22) 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 20101212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23088067200).

20101212032 is an abundant number, since it is smaller than the sum of its proper divisors (26074922368).

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

20101212032 is a wasteful number, since it uses less digits than its factorization.

20101212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20101212032 its reverse (23021210102), we get a palindrome (43122422134).

The spelling of 20101212032 in words is "twenty billion, one hundred one million, two hundred twelve thousand, thirty-two".