101900962291648 has 448 divisors, whose sum is σ = 235791298068480. Its totient is φ = 43325733040128.

The previous prime is 101900962291577. The next prime is 101900962291649. The reversal of 101900962291648 is 846192269009101.

It is a super-2 number, since 2×101900962291648² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101900962291592 and 101900962291601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101900962291649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17451780313 + ... + 17451786151.

It is an arithmetic number, because the mean of its divisors is an integer number (526319861760).

Almost surely, 2^{101900962291648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101900962291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117895649034240).

101900962291648 is an abundant number, since it is smaller than the sum of its proper divisors (133890335776832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101900962291648 is a wasteful number, since it uses less digits than its factorization.

101900962291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 101900962291648 in words is "one hundred one trillion, nine hundred billion, nine hundred sixty-two million, two hundred ninety-one thousand, six hundred forty-eight".