10202122142031 has 32 divisors (see below), whose sum is σ = 14365528602880. Its totient is φ = 6422431680000.

The previous prime is 10202122141969. The next prime is 10202122142039. The reversal of 10202122142031 is 13024122120201.

It is a happy number.

It is not a de Polignac number, because 10202122142031 - 2³⁵ = 10167762403663 is a prime.

It is a super-2 number, since 2×10202122142031² (a number of 27 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 = 10202122141989 and 10202122142007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122142039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25743081 + ... + 26136381.

It is an arithmetic number, because the mean of its divisors is an integer number (448922768840).

Almost surely, 2^{10202122142031} is an apocalyptic number.

10202122142031 is a deficient number, since it is larger than the sum of its proper divisors (4163406460849).

10202122142031 is a wasteful number, since it uses less digits than its factorization.

10202122142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394807.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10202122142031 its reverse (13024122120201), we get a palindrome (23226244262232).

The spelling of 10202122142031 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred forty-two thousand, thirty-one".