101001100210020 has 96 divisors (see below), whose sum is σ = 314951340157440. Its totient is φ = 26871424289280.

The previous prime is 101001100210009. The next prime is 101001100210027. The reversal of 101001100210020 is 20012001100101.

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 = 101001100209984 and 101001100210011.

It is not an unprimeable number, because it can be changed into a prime (101001100210027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215746636 + ... + 216214275.

It is an arithmetic number, because the mean of its divisors is an integer number (3280743126640).

Almost surely, 2^{101001100210020} is an apocalyptic number.

101001100210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001100210020 is an abundant number, since it is smaller than the sum of its proper divisors (213950239947420).

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

101001100210020 is a wasteful number, since it uses less digits than its factorization.

101001100210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431961362 (or 431961354 counting only the distinct ones).

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

Adding to 101001100210020 its reverse (20012001100101), we get a palindrome (121013101310121).

The spelling of 101001100210020 in words is "one hundred one trillion, one billion, one hundred million, two hundred ten thousand, twenty".