101012212000 has 192 divisors, whose sum is σ = 289681007616. Its totient is φ = 33895449600.

The previous prime is 101012211983. The next prime is 101012212013. The reversal of 101012212000 is 212210101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277622 + ... + 1354378.

It is an arithmetic number, because the mean of its divisors is an integer number (1508755248).

Almost surely, 2^101012212000 is an apocalyptic number.

101012212000 is a gapful number since it is divisible by the number (10) 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 101012212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840503808).

101012212000 is an abundant number, since it is smaller than the sum of its proper divisors (188668795616).

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

101012212000 is an equidigital number, since it uses as much as digits as its factorization.

101012212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76836 (or 76818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101012212000 its reverse (212210101), we get a palindrome (101224422101).

The spelling of 101012212000 in words is "one hundred one billion, twelve million, two hundred twelve thousand".