101211021010120 has 64 divisors (see below), whose sum is σ = 260623987718400. Its totient is φ = 34651977949440.

The previous prime is 101211021010117. The next prime is 101211021010123. The reversal of 101211021010120 is 21010120112101.

It is a happy number.

101211021010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101211021010117) and next prime (101211021010123).

It is a self number, because there is not a number n which added to its sum of digits gives 101211021010120.

It is not an unprimeable number, because it can be changed into a prime (101211021010123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254715396 + ... + 255112435.

It is an arithmetic number, because the mean of its divisors is an integer number (4072249808100).

Almost surely, 2^{101211021010120} is an apocalyptic number.

101211021010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211021010120 is an abundant number, since it is smaller than the sum of its proper divisors (159412966708280).

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

101211021010120 is a wasteful number, since it uses less digits than its factorization.

101211021010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509828558 (or 509828554 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211021010120 its reverse (21010120112101), we get a palindrome (122221141122221).

The spelling of 101211021010120 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, ten thousand, one hundred twenty".