101201001993 has 128 divisors (see below), whose sum is σ = 186549350400. Its totient is φ = 53113320000.

The previous prime is 101201001977. The next prime is 101201002037. The reversal of 101201001993 is 399100102101.

It is not a de Polignac number, because 101201001993 - 2⁴ = 101201001977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101201001943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104222998 + ... + 104223968.

It is an arithmetic number, because the mean of its divisors is an integer number (1457416800).

Almost surely, 2^101201001993 is an apocalyptic number.

101201001993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101201001993 is a deficient number, since it is larger than the sum of its proper divisors (85348348407).

101201001993 is an equidigital number, since it uses as much as digits as its factorization.

101201001993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 101201001993 in words is "one hundred one billion, two hundred one million, one thousand, nine hundred ninety-three".