101000210022120 has 256 divisors, whose sum is σ = 325020178022400. Its totient is φ = 25030231649280.

The previous prime is 101000210022119. The next prime is 101000210022137. The reversal of 101000210022120 is 21220012000101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101000210022096 and 101000210022105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757720999 + ... + 757854281.

It is an arithmetic number, because the mean of its divisors is an integer number (1269610070400).

Almost surely, 2^{101000210022120} is an apocalyptic number.

101000210022120 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 101000210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162510089011200).

101000210022120 is an abundant number, since it is smaller than the sum of its proper divisors (224019968000280).

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

101000210022120 is a wasteful number, since it uses less digits than its factorization.

101000210022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139640 (or 139636 counting only the distinct ones).

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

Adding to 101000210022120 its reverse (21220012000101), we get a palindrome (122220222022221).

The spelling of 101000210022120 in words is "one hundred one trillion, two hundred ten million, twenty-two thousand, one hundred twenty".