101001121020 has 240 divisors, whose sum is σ = 320198443488. Its totient is φ = 26649907200.

The previous prime is 101001121019. The next prime is 101001121027. The reversal of 101001121020 is 20121100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001120993 and 101001121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001121027) 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, 96099495 + ... + 96100545.

Almost surely, 2^101001121020 is an apocalyptic number.

101001121020 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 101001121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160099221744).

101001121020 is an abundant number, since it is smaller than the sum of its proper divisors (219197322468).

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

101001121020 is a wasteful number, since it uses less digits than its factorization.

101001121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001121020 its reverse (20121100101), we get a palindrome (121122221121).

The spelling of 101001121020 in words is "one hundred one billion, one million, one hundred twenty-one thousand, twenty".