101101002001020 has 72 divisors (see below), whose sum is σ = 350483473607904. Its totient is φ = 23108800457088.

The previous prime is 101101002000923. The next prime is 101101002001081. The reversal of 101101002001020 is 20100200101101.

It is a happy number.

It is a super-2 number, since 2×101101002001020² (a number of 29 digits) contains 22 as substring.

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 = 101101002000993 and 101101002001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40119443979 + ... + 40119446498.

It is an arithmetic number, because the mean of its divisors is an integer number (4867826022332).

Almost surely, 2^{101101002001020} is an apocalyptic number.

101101002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101002001020 is an abundant number, since it is smaller than the sum of its proper divisors (249382471606884).

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

101101002001020 is a wasteful number, since it uses less digits than its factorization.

101101002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80238890499 (or 80238890494 counting only the distinct ones).

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

Adding to 101101002001020 its reverse (20100200101101), we get a palindrome (121201202102121).

The spelling of 101101002001020 in words is "one hundred one trillion, one hundred one billion, two million, one thousand, twenty".