100010101001020 has 48 divisors (see below), whose sum is σ = 240176253219840. Its totient is φ = 34267461655104.

The previous prime is 100010101000969. The next prime is 100010101001059. The reversal of 100010101001020 is 20100101010001.

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 = 100010101000994 and 100010101001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225984724 + ... + 226426843.

It is an arithmetic number, because the mean of its divisors is an integer number (5003671942080).

Almost surely, 2^{100010101001020} is an apocalyptic number.

100010101001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010101001020 is an abundant number, since it is smaller than the sum of its proper divisors (140166152218820).

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

100010101001020 is a wasteful number, since it uses less digits than its factorization.

100010101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452413162 (or 452413160 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010101001020 its reverse (20100101010001), we get a palindrome (120110202011021).

The spelling of 100010101001020 in words is "one hundred trillion, ten billion, one hundred one million, one thousand, twenty".