101020120212 has 96 divisors (see below), whose sum is σ = 263152157184. Its totient is φ = 29901788800.

The previous prime is 101020120181. The next prime is 101020120217. The reversal of 101020120212 is 212021020101.

101020120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020120217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556287 + ... + 1619897.

It is an arithmetic number, because the mean of its divisors is an integer number (2741168304).

Almost surely, 2^101020120212 is an apocalyptic number.

101020120212 is a gapful number since it is divisible by the number (12) 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 101020120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131576078592).

101020120212 is an abundant number, since it is smaller than the sum of its proper divisors (162132036972).

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

101020120212 is a wasteful number, since it uses less digits than its factorization.

101020120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63909 (or 63907 counting only the distinct ones).

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

Adding to 101020120212 its reverse (212021020101), we get a palindrome (313041140313).

The spelling of 101020120212 in words is "one hundred one billion, twenty million, one hundred twenty thousand, two hundred twelve".