101000212020120 has 256 divisors, whose sum is σ = 366893017344000. Its totient is φ = 21713744977920.

The previous prime is 101000212020107. The next prime is 101000212020131. The reversal of 101000212020120 is 21020212000101.

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 = 101000212020096 and 101000212020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19836685 + ... + 24402755.

It is an arithmetic number, because the mean of its divisors is an integer number (1433175849000).

Almost surely, 2^{101000212020120} is an apocalyptic number.

101000212020120 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 101000212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183446508672000).

101000212020120 is an abundant number, since it is smaller than the sum of its proper divisors (265892805323880).

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

101000212020120 is a wasteful number, since it uses less digits than its factorization.

101000212020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567658 (or 4567654 counting only the distinct ones).

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

Adding to 101000212020120 its reverse (21020212000101), we get a palindrome (122020424020221).

The spelling of 101000212020120 in words is "one hundred one trillion, two hundred twelve million, twenty thousand, one hundred twenty".