101190218921 has 12 divisors (see below), whose sum is σ = 112792180032. Its totient is φ = 90695451000.

The previous prime is 101190218911. The next prime is 101190218933. The reversal of 101190218921 is 129812091101.

It is a happy number.

It is not a de Polignac number, because 101190218921 - 2¹⁴ = 101190202537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101190218911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5880725 + ... + 5897906.

It is an arithmetic number, because the mean of its divisors is an integer number (9399348336).

Almost surely, 2^101190218921 is an apocalyptic number.

101190218921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101190218921 is a deficient number, since it is larger than the sum of its proper divisors (11601961111).

101190218921 is a wasteful number, since it uses less digits than its factorization.

101190218921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778724 (or 11778713 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 35.

The spelling of 101190218921 in words is "one hundred one billion, one hundred ninety million, two hundred eighteen thousand, nine hundred twenty-one".