10201101201000 has 160 divisors (see below), whose sum is σ = 35658516259080. Its totient is φ = 2720293632000.

The previous prime is 10201101200981. The next prime is 10201101201019. The reversal of 10201101201000 is 10210110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201101200981) and next prime (10201101201019).

It can be written as a sum of positive squares in 4 ways, for example, as 3295379441124 + 6905721759876 = 1815318^2 + 2627874^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62888761 + ... + 63050760.

Almost surely, 2^{10201101201000} is an apocalyptic number.

10201101201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201101201000 is an abundant number, since it is smaller than the sum of its proper divisors (25457415058080).

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

10201101201000 is a wasteful number, since it uses less digits than its factorization.

10201101201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125939554 (or 125939531 counting only the distinct ones).

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

Adding to 10201101201000 its reverse (10210110201), we get a palindrome (10211311311201).

The spelling of 10201101201000 in words is "ten trillion, two hundred one billion, one hundred one million, two hundred one thousand".