101000211011020 has 48 divisors (see below), whose sum is σ = 213395848475040. Its totient is φ = 40153952047104.

The previous prime is 101000211010987. The next prime is 101000211011027. The reversal of 101000211011020 is 20110112000101.

It is a super-2 number, since 2×101000211011020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101000211010988 and 101000211011006.

It is not an unprimeable number, because it can be changed into a prime (101000211011027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16466914 + ... + 21752233.

It is an arithmetic number, because the mean of its divisors is an integer number (4445746843230).

Almost surely, 2^{101000211011020} is an apocalyptic number.

101000211011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000211011020 is an abundant number, since it is smaller than the sum of its proper divisors (112395637464020).

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

101000211011020 is a wasteful number, since it uses less digits than its factorization.

101000211011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38219962 (or 38219960 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000211011020 its reverse (20110112000101), we get a palindrome (121110323011121).

The spelling of 101000211011020 in words is "one hundred one trillion, two hundred eleven million, eleven thousand, twenty".