10100002100020 has 24 divisors (see below), whose sum is σ = 24240005040384. Its totient is φ = 3462857862816.

The previous prime is 10100002099991. The next prime is 10100002100051. The reversal of 10100002100020 is 2000120000101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10100002099976 and 10100002100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36071435932 + ... + 36071436211.

It is an arithmetic number, because the mean of its divisors is an integer number (1010000210016).

Almost surely, 2^{10100002100020} is an apocalyptic number.

10100002100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100002100020 is an abundant number, since it is smaller than the sum of its proper divisors (14140002940364).

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

10100002100020 is a wasteful number, since it uses less digits than its factorization.

10100002100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72142872159 (or 72142872157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100002100020 its reverse (2000120000101), we get a palindrome (12100122100121).

The spelling of 10100002100020 in words is "ten trillion, one hundred billion, two million, one hundred thousand, twenty".