10201001020 has 96 divisors (see below), whose sum is σ = 24912534528. Its totient is φ = 3436411392.

The previous prime is 10201000993. The next prime is 10201001033. The reversal of 10201001020 is 2010010201.

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 = 10201000994 and 10201001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2890497 + ... + 2894023.

It is an arithmetic number, because the mean of its divisors is an integer number (259505568).

Almost surely, 2^10201001020 is an apocalyptic number.

10201001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456267264).

10201001020 is an abundant number, since it is smaller than the sum of its proper divisors (14711533508).

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

10201001020 is a wasteful number, since it uses less digits than its factorization.

10201001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3897 counting only the distinct ones).

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

Adding to 10201001020 its reverse (2010010201), we get a palindrome (12211011221).

The spelling of 10201001020 in words is "ten billion, two hundred one million, one thousand, twenty".