212132000101020 has 192 divisors, whose sum is σ = 639754939514880. Its totient is φ = 52350707296512.

The previous prime is 212132000100997. The next prime is 212132000101103. The reversal of 212132000101020 is 20101000231212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24237289 + ... + 31807391.

It is an arithmetic number, because the mean of its divisors is an integer number (3332056976640).

Almost surely, 2^{212132000101020} is an apocalyptic number.

212132000101020 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 212132000101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319877469757440).

212132000101020 is an abundant number, since it is smaller than the sum of its proper divisors (427622939413860).

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

212132000101020 is a wasteful number, since it uses less digits than its factorization.

212132000101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570704 (or 7570702 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212132000101020 its reverse (20101000231212), we get a palindrome (232233000332232).

The spelling of 212132000101020 in words is "two hundred twelve trillion, one hundred thirty-two billion, one hundred one thousand, twenty".