101200212021020 has 48 divisors (see below), whose sum is σ = 250715363985408. Its totient is φ = 33577950530880.

The previous prime is 101200212020903. The next prime is 101200212021023. The reversal of 101200212021020 is 20120212002101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101200212020986 and 101200212021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200212021023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11659006262 + ... + 11659014941.

It is an arithmetic number, because the mean of its divisors is an integer number (5223236749696).

Almost surely, 2^{101200212021020} is an apocalyptic number.

101200212021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200212021020 is an abundant number, since it is smaller than the sum of its proper divisors (149515151964388).

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

101200212021020 is a wasteful number, since it uses less digits than its factorization.

101200212021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23318021250 (or 23318021248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101200212021020 its reverse (20120212002101), we get a palindrome (121320424023121).

The spelling of 101200212021020 in words is "one hundred one trillion, two hundred billion, two hundred twelve million, twenty-one thousand, twenty".