101021122123031 has 8 divisors (see below), whose sum is σ = 111295997731728. Its totient is φ = 90928102720000.

The previous prime is 101021122122983. The next prime is 101021122123079. The reversal of 101021122123031 is 130321221120101.

It is an interprime number because it is at equal distance from previous prime (101021122122983) and next prime (101021122123079).

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

It is a cyclic number.

It is not a de Polignac number, because 101021122123031 - 2⁴² = 96623075611927 is a prime.

It is a super-2 number, since 2×101021122123031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021122122994 and 101021122123012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021122123331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45464050250 + ... + 45464052471.

It is an arithmetic number, because the mean of its divisors is an integer number (13911999716466).

Almost surely, 2^{101021122123031} is an apocalyptic number.

101021122123031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101021122123031 is a deficient number, since it is larger than the sum of its proper divisors (10274875608697).

101021122123031 is a wasteful number, since it uses less digits than its factorization.

101021122123031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90928102833.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101021122123031 its reverse (130321221120101), we get a palindrome (231342343243132).

The spelling of 101021122123031 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, thirty-one".