101123021970 has 160 divisors (see below), whose sum is σ = 281678387760. Its totient is φ = 26012067840.

The previous prime is 101123021941. The next prime is 101123021971. The reversal of 101123021970 is 79120321101.

It can be written as a sum of positive squares in 8 ways, for example, as 21549946401 + 79573075569 = 146799^2 + 282087^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101123021971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2938584 + ... + 2972796.

Almost surely, 2^101123021970 is an apocalyptic number.

101123021970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123021970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140839193880).

101123021970 is an abundant number, since it is smaller than the sum of its proper divisors (180555365790).

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

101123021970 is a wasteful number, since it uses less digits than its factorization.

101123021970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34362 (or 34353 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 101123021970 in words is "one hundred one billion, one hundred twenty-three million, twenty-one thousand, nine hundred seventy".