2101101542001 has 48 divisors (see below), whose sum is σ = 4006378516608. Its totient is φ = 1027276531200.

The previous prime is 2101101541949. The next prime is 2101101542041. The reversal of 2101101542001 is 1002451011012.

2101101542001 is a `hidden beast` number, since 2 + 10 + 110 + 1 + 542 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 2101101542001 - 2¹³ = 2101101533809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101101542041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89161530 + ... + 89185091.

It is an arithmetic number, because the mean of its divisors is an integer number (83466219096).

Almost surely, 2^{2101101542001} is an apocalyptic number.

2101101542001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101101542001 is a deficient number, since it is larger than the sum of its proper divisors (1905276974607).

2101101542001 is a wasteful number, since it uses less digits than its factorization.

2101101542001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178346662 (or 178346659 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 2101101542001 its reverse (1002451011012), we get a palindrome (3103552553013).

The spelling of 2101101542001 in words is "two trillion, one hundred one billion, one hundred one million, five hundred forty-two thousand, one".