10100201011020 has 72 divisors (see below), whose sum is σ = 30679418855904. Its totient is φ = 2689682105088.

The previous prime is 10100201010983. The next prime is 10100201011037. The reversal of 10100201011020 is 2011010200101.

10100201011020 = T₂₁ + T₂₂ + ... + T₃₉₂₇₈.

It is a happy number.

It is a super-2 number, since 2×10100201011020² (a number of 27 digits) contains 22 as substring.

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 = 10100201010993 and 10100201011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38460769 + ... + 38722488.

Almost surely, 2^{10100201011020} is an apocalyptic number.

10100201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201011020 is an abundant number, since it is smaller than the sum of its proper divisors (20579217844884).

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

10100201011020 is a wasteful number, since it uses less digits than its factorization.

10100201011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77183999 (or 77183994 counting only the distinct ones).

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

Adding to 10100201011020 its reverse (2011010200101), we get a palindrome (12111211211121).

The spelling of 10100201011020 in words is "ten trillion, one hundred billion, two hundred one million, eleven thousand, twenty".