101021101131 has 8 divisors (see below), whose sum is σ = 134704766464. Its totient is φ = 67342418280.

The previous prime is 101021101099. The next prime is 101021101141. The reversal of 101021101131 is 131101120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101021101131 - 2⁵ = 101021101099 is a prime.

It is a super-2 number, since 2×101021101131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021101141) 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 7 ways as a sum of consecutive naturals, for example, 1198051 + ... + 1279596.

It is an arithmetic number, because the mean of its divisors is an integer number (16838095808).

Almost surely, 2^101021101131 is an apocalyptic number.

101021101131 is a deficient number, since it is larger than the sum of its proper divisors (33683665333).

101021101131 is a wasteful number, since it uses less digits than its factorization.

101021101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491241.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101021101131 its reverse (131101120101), we get a palindrome (232122221232).

The spelling of 101021101131 in words is "one hundred one billion, twenty-one million, one hundred one thousand, one hundred thirty-one".