101442887001 has 45 divisors (see below), whose sum is σ = 155332979109. Its totient is φ = 65975571144.

The previous prime is 101442886943. The next prime is 101442887011. The reversal of 101442887001 is 100788244101.

The square root of 101442887001 is 318501.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 101442887001 - 2¹³ = 101442878809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101442887011) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 123259476 + ... + 123260298.

Almost surely, 2^101442887001 is an apocalyptic number.

101442887001 is the 318501-st square number.

101442887001 is the 159251-st centered octagonal number.

It is an amenable number.

101442887001 is a deficient number, since it is larger than the sum of its proper divisors (53890092108).

101442887001 is an frugal number, since it uses more digits than its factorization.

101442887001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Multiplying 101442887001 by its sum of digits (36), we get a square (3651943932036 = 1911006²).

The spelling of 101442887001 in words is "one hundred one billion, four hundred forty-two million, eight hundred eighty-seven thousand, one".